263087649216 has 448 divisors, whose sum is σ = 917004211200. Its totient is φ = 72369303552.

The previous prime is 263087649203. The next prime is 263087649233. The reversal of 263087649216 is 612946780362.

263087649216 is a `hidden beast` number, since 2 + 63 + 0 + 87 + 6 + 492 + 16 = 666.

263087649216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×263087649216² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155396466 + ... + 155398158.

It is an arithmetic number, because the mean of its divisors is an integer number (2046884400).

Almost surely, 2^263087649216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263087649216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458502105600).

263087649216 is an abundant number, since it is smaller than the sum of its proper divisors (653916561984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

263087649216 is a wasteful number, since it uses less digits than its factorization.

263087649216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 263087649216 in words is "two hundred sixty-three billion, eighty-seven million, six hundred forty-nine thousand, two hundred sixteen".